138884976 has 80 divisors (see below), whose sum is σ = 409472800. Its totient is φ = 45038592.

The previous prime is 138884957. The next prime is 138884981. The reversal of 138884976 is 679488831.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11640 + ... + 20328.

It is an arithmetic number, because the mean of its divisors is an integer number (5118410).

Almost surely, 2^138884976 is an apocalyptic number.

138884976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138884976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736400).

138884976 is an abundant number, since it is smaller than the sum of its proper divisors (270587824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138884976 is a wasteful number, since it uses less digits than its factorization.

138884976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8731 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 138884976 is about 11784.9470087905. The cubic root of 138884976 is about 517.8672209778.

The spelling of 138884976 in words is "one hundred thirty-eight million, eight hundred eighty-four thousand, nine hundred seventy-six".